{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Y3HFMZEPW46KCMH7FZG65XU7TR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"67bdd00534c2c7db380a087717999d0533099837aaa94a2b36f97cc6ebe35414","cross_cats_sorted":["stat.CO","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-23T08:22:37Z","title_canon_sha256":"5c3f1df0bd481e7111bf7c43793bd9fae3f8448a5231fc1aa1b40ecc0b0c5db9"},"schema_version":"1.0","source":{"id":"2604.21407","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.21407","created_at":"2026-06-08T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"2604.21407v2","created_at":"2026-06-08T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.21407","created_at":"2026-06-08T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"Y3HFMZEPW46K","created_at":"2026-06-08T01:04:05Z"},{"alias_kind":"pith_short_16","alias_value":"Y3HFMZEPW46KCMH7","created_at":"2026-06-08T01:04:05Z"},{"alias_kind":"pith_short_8","alias_value":"Y3HFMZEP","created_at":"2026-06-08T01:04:05Z"}],"graph_snapshots":[{"event_id":"sha256:777aa95574d9938b19fdf65a9d5d0b4331989a6426022ae4e6e7e243dd694f90","target":"graph","created_at":"2026-06-08T01:04:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We derive sufficient conditions guaranteeing exact recovery of the mean when using the forward Kullback-Leibler divergence and α-divergences."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The target distribution possesses symmetries that interact with the location-scale variational family in a way that permits exact mean recovery under the chosen divergences."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with location-scale families for forward KL and alpha-divergences."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with forward KL and alpha-divergences even under misspecification."}],"snapshot_sha256":"f7755368ca18980e0513c5386d520bd21a11737622160bd1531345c56d22ca22"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-21T12:42:39.286561Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-20T00:58:26.516232Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2604.21407/integrity.json","findings":[],"snapshot_sha256":"1b80804a26c71bc31d29a0f43080c91c027cf028d32f59d657f96f6aa072df38","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When approximating an intractable density via variational inference (VI) the variational family is typically chosen as a simple parametric family that very likely does not contain the target. This raises the question: Under which conditions can we recover characteristics of the target despite misspecification? In this work, we extend previous theoretical results on robust VI with location-scale families under target symmetries in two substantial ways: (1) We open them up to a wider range of divergences by providing sufficient conditions for exact recovery of the target mean and correlation mat","authors_text":"Antonio Vergari, Lena Zellinger","cross_cats":["stat.CO","stat.ML"],"headline":"Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with forward KL and alpha-divergences even under misspecification.","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-23T08:22:37Z","title":"Even More Guarantees for Variational Inference in the Presence of Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.21407","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-09T22:21:13.357048Z","id":"b8cf4777-6901-46fe-b223-9a1e36af362a","model_set":{"reader":"grok-4.3"},"one_line_summary":"Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with location-scale families for forward KL and alpha-divergences.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Sufficient conditions on target symmetries guarantee exact mean recovery in variational inference with forward KL and alpha-divergences even under misspecification.","strongest_claim":"We derive sufficient conditions guaranteeing exact recovery of the mean when using the forward Kullback-Leibler divergence and α-divergences.","weakest_assumption":"The target distribution possesses symmetries that interact with the location-scale variational family in a way that permits exact mean recovery under the chosen divergences."}},"verdict_id":"b8cf4777-6901-46fe-b223-9a1e36af362a"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:76b01a0d9320f3a0cc837c4a1158435066077bb2aab9f98df13f7259e63a9b27","target":"record","created_at":"2026-06-08T01:04:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"67bdd00534c2c7db380a087717999d0533099837aaa94a2b36f97cc6ebe35414","cross_cats_sorted":["stat.CO","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-04-23T08:22:37Z","title_canon_sha256":"5c3f1df0bd481e7111bf7c43793bd9fae3f8448a5231fc1aa1b40ecc0b0c5db9"},"schema_version":"1.0","source":{"id":"2604.21407","kind":"arxiv","version":2}},"canonical_sha256":"c6ce56648fb73ca130ff2e4deede9f9c4fed22c422d2d30c79c1c85a224dc91e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6ce56648fb73ca130ff2e4deede9f9c4fed22c422d2d30c79c1c85a224dc91e","first_computed_at":"2026-06-08T01:04:05.387653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:04:05.387653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8LXua3Ji3bQdA70+UslxIf4E5o+WsIuTjVNfSQi+fssXD/UWTLgDxVCtOMewAuA3hmGrvDIklbtfr77xBFIwAA==","signature_status":"signed_v1","signed_at":"2026-06-08T01:04:05.388789Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.21407","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76b01a0d9320f3a0cc837c4a1158435066077bb2aab9f98df13f7259e63a9b27","sha256:777aa95574d9938b19fdf65a9d5d0b4331989a6426022ae4e6e7e243dd694f90"],"state_sha256":"f6effa4122def4078e300f1e58082855806644459991472ca65f7d43af640934"}